Herbut Aneta, Rybak Jarosław, Brząkała Włodzimierz
Wrocław University of Science and Technology; Wyb. Wyspiańskiego 27; 50-370 Wrocław, Poland.
Sensors (Basel). 2020 Mar 30;20(7):1938. doi: 10.3390/s20071938.
In this paper, the problem of optimal sensor arrangement during vibration monitoring is analysed. The wave propagation caused by horizontal excitation is investigated to predict the areas of the largest ground and structure response. The equations of motion for a transversally isotropic elastic medium with appropriate absorbing boundary conditions are solved using the finite element method (FlexPDE software). The possibility of an amplified soil medium response is examined for points located on the ground surface and at various depths. The results are presented in the form of a dimensionless vibration reduction factor, defined as the ratio of the peak particle velocity observed at the selected depth to the corresponding value observed at the ground surface. Significant amplifications (≈50%) can be observed below the ground surface, especially in the case of a weak layer below a stiff layer. The effect of vibration amplification is most significant near the boundary surface of two layers. For the points located on the ground surface, the greatest peak particle velocities are observed in the direction perpendicular to the load direction. However, the greatest vertical velocity component at the ground surface is observed in front of the applied force.
本文分析了振动监测过程中的最优传感器布置问题。研究了水平激励引起的波传播,以预测地面和结构响应最大的区域。采用有限元法(FlexPDE软件)求解了具有适当吸收边界条件的横观各向同性弹性介质的运动方程。研究了地面上和不同深度处各点土壤介质响应放大的可能性。结果以无量纲减振系数的形式给出,该系数定义为在选定深度处观测到的峰值质点速度与在地面观测到的相应值之比。在地面以下可观察到显著的放大(约50%),特别是在硬层下方存在软层的情况下。振动放大效应在两层边界表面附近最为显著。对于位于地面上的点,在垂直于荷载方向上观测到最大的峰值质点速度。然而,在地面上最大的垂直速度分量出现在作用力的前方。